Fedosov Quantization in Positive and Mixed Characteristic

Explore Fedosov quantization techniques extended to positive and mixed characteristic settings in this advanced mathematics lecture. Learn how classical Fedosov quantization methods, traditionally developed for characteristic zero, can be adapted and applied to algebraic geometry contexts involving finite characteristic fields. Discover the mathematical frameworks and tools necessary for understanding deformation quantization in these more general settings, examining both the theoretical foundations and practical applications. Gain insights into the connections between symplectic geometry, algebraic geometry, and quantum mathematics through the lens of characteristic-dependent approaches. Understand the challenges and solutions that arise when working with non-zero characteristic fields, and see how these techniques contribute to broader developments in mathematical physics and algebraic geometry.